A 1,321-kg car climbs a 5.0° slope at a constant speed of 80.0 km/h. Assuming that air resistance may be neglected,at what rate (in kW)must the engine deliver energy to the drive wheels of the car?

Question

A 1,321-kg car climbs a 5.0° slope at a constant speed of  80.0 km/h. Assuming that air resistance may be neglected,at what rate (in kW)must the engine deliver energy to the drive wheels of the car?

Quizplus · Accepted Answer

The power required to overcome the force of gravity is:$$P = Fv = mgsv$$$$P = (1321 	ext{ kg})(9.8 	ext{ m/s}^2)(\sin 5.0^\circ)(80.0 	ext{ km/h})$$$$P = 287 	ext{ kW}$$

A 1,321-Kg Car Climbs a 5